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Finding the Fourth Proportional to 9,697.80, 14,546.70 and 4,149.30

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Solution

The fourth proportional to 9,697.80, 14,546.70 and 4,149.30 is: 6,223.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.80 : 14,546.70 = 4,149.30 : x
  2. Step 2: Convert to fraction form
    9,697.80/14,546.70 = 4,149.30/x
  3. Step 3: Cross multiply
    9,697.80x = 14,546.70 × 4,149.30
  4. Step 4: Simplify right side
    9,697.80x = 60,358,622.31
  5. Step 5: Solve for x
    x = 60,358,622.31/9,697.80
  6. Step 6: Final answer
    x = 6,223.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.